Special type of angle pairs formed by transversals and parallel line

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Fast! find the length of cu. the triangles are similar. show your work.

What is the distance from zero if a quadratic function has a line of symmetry at x=-3 and a zero at 4